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inn [45]
3 years ago
14

A triangle has side lengths of 18 cm, 80 cm, and 81 cm. Classify it as acute, obtuse, or right.

Mathematics
2 answers:
nirvana33 [79]3 years ago
8 0

Answer:

The answer is:

C - Acute

Hope this helps :)

Step-by-step explanation:

hichkok12 [17]3 years ago
5 0
81^2 = 18 ^2 + 80^
6561 = 324 + 6400
6561 = 6724
<span>It is not a right angle, since 18^2 + 80^2 does not equal 81^2.
So,
Using </span><span>The law of cosines:
</span>The largest angle C is opposite to the side c.
Therefore, 
<span>c^2 = a^2 + b^2 -2ab cosC </span>
<span>Here,
 c^2 < (a^2 + b^2)
 cosC must be positive which makes C an acute angle.</span> 
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seropon [69]

Answer:

Second option

Third option

Fourth option

Step-by-step explanation:

We have the following quadratic function

f(x) =(x-1)(x+7)

Use the distributive property to multiply the expression

f(x) =x^2+7x-x-7

f(x) =x^2+6x-7

For a function of the form f (x) = ax ^ 2 + bx + c the x coordinate of the vertex is:

x =-\frac{b}{2a}

Then in this case the coordinate of the vertex is:

x =-\frac{6}{2(1)}

x =-3

To obtain the y coordinate of the vertex we evaluate the function at x = -3

f(-3) =(-3)^2+6(-3)-7

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Then the vertex is:  (-3, -16)

We can see in the graph that the zeros of the function are x=1 and x=-7

Then the function is decreasing from -∞ to -3 and then it is increasing from -3 to ∞

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The correct answers are:

Second option

Third option

Fourth option

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Answer:

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Step-by-step explanation:

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